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Simplifying 2x + 7(3x + -5) = -8 + -4x Reorder the terms: 2x + 7(-5 + 3x) = -8 + -4x 2x + (-5 * 7 + 3x * 7) = -8 + -4x 2x + (-35 + 21x) = -8 + -4x Reorder the terms: -35 + 2x + 21x = -8 + -4x Combine like terms: 2x + 21x = 23x -35 + 23x = -8 + -4x Solving -35 + 23x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -35 + 23x + 4x = -8 + -4x + 4x Combine like terms: 23x + 4x = 27x -35 + 27x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -35 + 27x = -8 + 0 -35 + 27x = -8 Add '35' to each side of the equation. -35 + 35 + 27x = -8 + 35 Combine like terms: -35 + 35 = 0 0 + 27x = -8 + 35 27x = -8 + 35 Combine like terms: -8 + 35 = 27 27x = 27 Divide each side by '27'. x = 1 Simplifying x = 1
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